a match box has length x cm, width x +1 cm and height 3 cm. express its surface area as a function of x

[tex]\begin{array}{ccll} \stackrel{hours}{t}&\stackrel{height}{h}\\ \cline{1-2} 3&20\\ 5&19 \end{array}[/tex]  with those values provided from the table, let's get its equation

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{20})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{19}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{19}-\stackrel{y1}{20}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{19 -20}{5 -3} \implies -\cfrac{ 1 }{ 2 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{20}=\stackrel{m}{-\cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{3}) \implies y-20=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2} \\\\\\ y=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2}+20\implies y=-\cfrac{ 1 }{ 2 }x+\cfrac{43}{2}\implies \LARGE \begin{array}{llll} h=-\cfrac{ 1 }{ 2 }t+\cfrac{43}{2} \end{array}[/tex]

how talll will the candle be after 8 hours?  namely when t = 8.

[tex]h=-\cfrac{ 1 }{ 2 }(8)+\cfrac{43}{2}\implies h=-4+\cfrac{43}{2}\implies h=\cfrac{35}{2}\implies \LARGE \begin{array}{llll} h=17\frac{1}{2} \end{array}[/tex]

Answer: 13 cm 34 mm

Step-by-step explanation:

(80 cm 4 mm) * 1 layer/6 layers=

(80 cm 4 mm) * 1/6=

(80 cm 4 mm)/6=

(80 cm+4 mm) * 1/6=

80 cm/6 + 4 mm/6=

80/6 cm + 4/6 mm=

(78+2)/6 cm + 2/3 mm=

78/6 cm + 2/6 cm + 2/3 mm=

13 cm + 2/6 * 1000 mm + 2/3 mm=

13 cm + 1/3 * 1000 mm + 2/3 mm=

13 cm + 1000/3 mm + 2/3 mm=

13 cm+1002/3 mm=13 cm 34 mm

Answer: For each direct variation, find the constant of variation. Then find the value of $y$ when $x=-5 .$

$y=-\frac{2}{3}$ when $x=-\frac{1}{3}$

Step-by-step explanation:

Answer:

Charge 26, 78, 130, 182, 234

Step-by-step explanation:

If Heads is (1,3,5,7,9) CHARGE and charge is (26,0,0,0,0) if 1 head=26 then you can just multiply or use repetitive addition if you were to multiply do 3x26=78, 5x26=130, 7x26=182, and 9x26=324. If you were to use repetitive addition do 26+26+26=78, 26+26+26+26+26=130, 26+26+26+26+26+26+26=182, and 26+26+26+26+26+26+26+26+26=234.

I hope it helps!

~XxBells is a cute girlxX~

Answer:

64

Step-by-step explanation:

16 chapters per hour times 4 hours is 64 chapters

Answer:

(0,5)

Step-by-step explanation:

On subtracting 12.82 from 43.3 we get 30.48 as answer.

How to subtract decimal numbers?

Write down decimal numbers such that the number from which you have to subtract is written first and number which you have to subtract from the fist number is written just below it such that the decimal is just lined below another decimal

For example if we have to subtract 4.2 from 12.8

we write it like   1 2 . 8

                         - 0 4 . 2

                        ______

                            0 8 . 6       and the starting from right start subtracting

Given 43.3-12.82

          4 3 . 3 0

     -    1 2 . 8 2

_______________

          3 0  . 4  8    

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The range of the population standard deviation with a 95% confidence level  = 0.33 ≤ σ ≤ 0.87.

A data distribution's spread is measured by standard deviation. It calculates the average separation between each data point. Whether we consider the data to be a population unto itself or a sample of a larger population affects the formula we use to calculate standard deviation.

Sample data, x: {6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7}

Sample size n = 10

Applying chi-square statistics with df=n-1=9-1=8

now 95% confidence interval is given by:

= [tex]\sqrt{\frac{(n-1) S^2}{\chi_{8,0.025}^2}} < \sigma < \sqrt{\frac{(n-1) S^2}{\chi_{8,0.975}^2}}[/tex]

= [tex]\sqrt{\frac{(9-1) * 0.462^2}{17.53}} < \sigma < \sqrt{\frac{(9-1) * 0.462^2}{2.18}}[/tex]

=  0.107 ≤ σ² ≤ 0.757

= 0.33 ≤ σ ≤ 0.87

The range of the population standard deviation with a 95% confidence level  = 0.33 ≤ σ ≤ 0.87.

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I understand that the question you are looking for is:

The values listed below are waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Find the sample variance s2 then construct a 95% confidence interval for the population standard deviation σ. Round sample variance to three decimal places. Assume that the population has a normal distribution. Critical values should have three decimal places and confidence interval limits should have two decimal places.

6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7

Answer:

she has 130 crayons 100 crayons divided by 2 = 50 crayons each divide 30 by 2 =15

then she has the four crayons left divide those by 2

The linear equation for the area is:

40 = 7*(x + 4)

The solution is x = 1.71 = x

Remember that for a rectangle of length L and width W, the area is:

A = L*W

In this case, we can see that:

W = 7

L = x + 4

A = 70

Replacing that, we can get the linear equation:

40 = 7*(x + 4)

Now we can solve this, we jus need to isolate x.

40/7 = x + 4

40/7 - 4 = x

5.71 - 4 = x

1.71 = x

The solution is x = 1.71 = x

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Answer:

a. 7.78%

b.

c. lower

Step-by-step explanation:

Step-by-step explanation:

39× 99

= -39×(100 - 1)

= (-39×100) - (-39 × 1)

= -3900 + 39

= -3861

Answer:

-3751

Step-by-step explanation:

you multiple times to the /number

Answer:

D

Step-by-step explanation:

a×10=0.07

a=0.07/10

=0.007

Answer:

D

Step-by-step explanation:

0.007 if you multiply this by 10 you move the decimal one place to the right, t hat would be 0.07

5x+30=45

tkae the 30 to the other side and it becomes

5x=45-30

that gives you 15. then you want to divide 5 by 15

and then that gives you 3

x=3

Hope this helps you!

Answer:

Step-by-step explanation:

14+24i-26+3i+110+100i

A-98+137i

The given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8). Thus, the correct option is option C.

A quadratic polynomial function is a function which may be written in the form of ax² + bx + c = 0 where a, b and c are coefficients and x is the variable of the function. The quadratic polynomial function forms a parabola when plotted on the graph.

To find the vertex to the quadratic polynomial function we determine the value of x coordinate by the formula (-b/2a) and substitute the value of x in the polynomial function to get the value of y coordinate.

f(x) = 2x² - 4x - 6.

x coordinate = (-b/2a)

x = (4/2×2)

x = 4/4

x = 1

Now, the value of y coordinate = 2(1)² - 4(1) - 6

y = -8.

Thus, the given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8).

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Rating each statement below on a scale from best to worst will be:

1. You read an article in a science journal from 50 different labs around the world that have tested the temperature of water and found that it boils at 100°C in every location.

2. You used a thermometer to measure the temperature at which water boiled. You repeated the experiment 3 times. Each time the thermometer read 100°C.

3. Your cousin said that he tested the temperature of boiling water and found that it was 100°C.

4. Most people you know believe that water boils at 100°C.

It should be noted that the science journal will give the most accurate information. Therefore, it's the best.

It should be noted that the fact that most people you know believe that water boils at 100°C doesn't necessarily mean it's correct. It wasn't tested. Therefore, it's the worst.

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Therefore 1 9/10 bag of mulch is put on each vegetable bed.

Given a gardener spread 3 4/5 bags of mulch evenly over his 2 equal-sized vegetable beds.

We need to find how much he put on each vegetable bed as

Let the number of bags of mulch put on each vegetable bed be x

∴ 2 * x =  3 4/5

2 x = 19 / 5

x = 19 / 10

x = 1 9/10 bag

Therefore 1 9/10 bag of mulch is put on each vegetable bed.

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Answer in the picture !!!

Answer:

3/1

Step-by-step explanation:

Beginning from 10, you count upward until you come across a point that's directly underneath a number to the x-axis.

In this case, you'd go upward 3 times, locating the y-axis at 30.

Then you would go either left or right and count how many times you do that.

In this case, you'd go right 1 time, locating the x-axis at 10.

Hence, the slope would be rise over run, or y over x.

In this case, the slope would be 30/10.

To simplify that, it would be 3 over 1.

To simplify it even more, it would just be 3.

Hope this helps.

Step-by-step explanation:

you can ask questions for clarification

The measurement of the actual angle NOP is 56° when it is being dilated by the scale factor of 2 to form the dilated angle NOP as 112° .

We are given the dilated angle as:

∠ NOP = 112°

The scale factor for dilation is given as 2.

Now, we need to find the value of actual angle NOP.

For this, we will divide the dilated angle NOP with the scale factor of dilation.

So, we will get the result as:

Actual ∠ NOP = 112° / 2

Actual ∠ NOP = 56°

Therefore, we get that, the measurement of the actual angle NOP is 56° when it is being dilated by the scale factor of 2 to form the dilated angle NOP as 112° .

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Answer:

8

Step-by-step explanation:

The biggest common factor number is the GCF number. So the Greatest Common Factor 16, 24, 48 is 8.

please make my answer as brainelist

Answer:

Step-by-step explanation:

One square millimeter converted into square meter equals = 0.0000010 m2 , sq m

1 mm2 , sq mm = 0.0000010 m2 , sq m

Answer:

I think 50,682,000 square milliliters

Step-by-step explanation:

Step-by-step explanation:

1. Cloud of Dust and gas

2. solar system formation

3. spinning disc

4. early solar system today

Kendra's samples are precise but not accurate.

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If the function is translated 5 units down of the graph of f, the resulting function will be g(x) =. |x|-8

Translation is the technique that is used to change the position of a figure on an xy-plane.

For instance, if the function f(x) is translated k units down the graph, the resulting function will be g(x) = f(x) - k

Given the function f(x)=|x|-3, if the function is translated 5 units down of the graph of f, the resulting function will be;

g(x) = f(x) -  5

g(x) = |x|-3 - 5

g(x) =. |x|-8

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Answer: x∈(-∞,-2√6-2)U(2√6-2,+∞)

Step-by-step explanation:

[tex]\displaystyle\\y=\frac{1}{4} (x+2)^2-6\\y > 0\\Hence,\\\frac{1}{4}(x+2)^2-6 > 0 \\\\\frac{1}{4}(x+2)^2-6+6 > 0+6\\\\\frac{1}{4}(x+2)^2 > 6\\[/tex]

Multiply both parts of the equation by 4:

[tex](x+2)^2 > 24[/tex]

Extract the square root of both parts of the inequality:

[tex]|x+2| > \sqrt{24} \\|x+2| > \sqrt{4*6} \\|x+2| > 2\sqrt{6}[/tex]

Expand the modulus - we get a set of inequalities:

[tex]\displaystyle\\\left [{{x+2 > 2\sqrt{6}\ \ \ \ (1) } \atop {-(x+2) > 2\sqrt{6} \ \ \ (2)}} \right.\\[/tex]

Multiply both parts of inequality (2) by -1 and reverse the sign of the inequality:

[tex]\displaystyle\\\left [ {{x+2-2 > 2\sqrt{6}-2 } \atop {x+2 < -2\sqrt{6} }} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x+2-2 < -2\sqrt{6} -2}} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x < -2\sqrt{6}-2 }} \right.[/tex]

Thus,

[tex]x\in(-\infty,-2\sqrt{6}-2)U(2\sqrt{6} -2,+\infty)[/tex]